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Books Books 1 - 10 of 86 on ... the squares of the periodic times are as the cubes of the distances from the....  
" ... the squares of the periodic times are as the cubes of the distances from the common centre, the centripetal forces will be inversely as the squares of the distances. "
Principles of Logic - Page 347
by George Hayward Joyce - 1916 - 431 pages
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The Elements of Astronomy, Physical and Geometrical, Volume 1

David Gregory, Edmond Halley - Astronomy - 1715 - 441 pages
...greater than that of the nearer, in the fefquiplicate ratio of the diftances from the Sun; that is, the Squares of the Periodic Times are as the Cubes of the diftances from the Sun. Which things are to be underftood after the like manner concerning the Secondary...
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Miscellaneæ curiosæ [afterw.] Miscellanea curiosa: or, Entertainments for ...

Thomas Gent - 1734
...Mathematically demonftrated : If fcveral Bodice revolve with an equable Motion in concentric Circles, and the Squares of the Periodic Times are as the Cubes of the Diftances from the common Centre $ the Centripe• tal Forces will be reciprocally as the Squares of...
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Miscellanea curiosa: or, Entertainments for the ingenious of both sexes...

1734
...Mathematically demonftrated : If feveral Bodies revolve with an equable Motion in concentric Circles, and the Squares of the Periodic Times are as the Cubes of the Diftances from the common Centre 5 the Centripetal Forces will be reciprocally as the Squares of the...
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The Monthly Review

Ralph Griffiths, George Edward Griffiths - 1800
...the velocity in a circle, radiua^i, then ^''rrt^ M. LA PLAQE shews that the law of Kepler, viz. that the squares of the periodic times are as the cubes of the axes, U not rigorous, and only obtains in as much as the mutual action of the planets, and their action...
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A treatise on fluxions: in two volumes

Colin MacLaurin - Calculus - 1801
...the centripetal forces are as the distances of the revolving bodies from the centres of the circles. When the squares of the periodic times are as the cubes of the rays of the circles, and, consequently, the velocities in the subduplicate ratio of these rays inversely,...
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The elements of astronomy: designed for the use of students in the university

Samuel Vince - Astronomy - 1811 - 297 pages
...satellites move in circular orbits, we may take 44",23 for the true distance, without much error; hence, as the squares of the periodic times are as the cubes of the distances, the distance of the first satellite comes out 33",09. The synodic revolutions were here...
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Astronomical and geographical essays

George Adams - Astronomy - 1812 - 518 pages
...general harmony and universal law, which all the other moving bodies in the system observe ; namely, that the squares of the periodic times are as the cubes of the distances ; but if the sun move* round the earth, that law is destroyed, and the general order of symmetry...
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Astronomical and Geographical Essays: Containing a Full and Comprehensive ...

George Adams - Astronomy - 1812 - 518 pages
...general harmony and universal law, which all the other moving bodies in the system observe ; namely, that the squares of the periodic times are as the cubes of the distances; but if the sun moves round the earth, that law is destroyed, and the general order of symmetry...
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The new pocket cyclopædia: or, Elements of useful knowledge

John Millard (assistant librarian of the Surrey inst.) - 1813
...their motions always conforming to the law discovered by Kepler, but first demonstrated by Newton, that the squares of the periodic times are as the cubes of the respective mean distances from the sun, or focal body. 3. The time of performing1 their revolutions...
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The New Pocket Cyclopaedia: Or, Elements Or Useful Knowledge, Methodically ...

John Millard - Handbooks, vade-mecums, etc - 1813 - 671 pages
...their motions always conforming to the law discovered by Kepler, but first demonstrated by Newton, that the squares of the periodic times are as the cubes of the respective mean distances from the sun, or focal body. 3. Th« time of performing' their revolutions...
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